%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:43:38 EDT 2022
% Result : Theorem 0.71s 0.92s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 31 ( 19 unt; 10 nHn; 31 RR)
% Number of literals : 74 ( 6 equ; 36 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
cnf(2,negated_conjecture,
v10_lattices('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
cnf(3,negated_conjecture,
l3_lattices('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
cnf(4,negated_conjecture,
m2_filter_2('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
cnf(5,negated_conjecture,
v13_lattices('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
cnf(6,negated_conjecture,
~ r2_hidden(k5_lattices('SKOLEMAAAV1'),'SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
cnf(21,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| k7_filter_2(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
cnf(24,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m2_filter_2(Y,X)
| m1_filter_2(k15_filter_2(X,Y),k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
cnf(26,axiom,
( ~ l3_lattices(X)
| l3_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
cnf(39,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m2_filter_2(Y,X)
| m2_lattice4(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
cnf(40,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m2_lattice4(Y,X)
| m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
cnf(60,axiom,
( v3_struct_0(X)
| ~ l3_lattices(X)
| ~ v3_struct_0(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
cnf(72,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v10_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
cnf(120,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m2_filter_2(Y,X)
| k15_filter_2(X,Y) = k7_filter_2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
cnf(121,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_filter_2(Y,X)
| m1_filter_0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
cnf(126,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_filter_0(Y,X)
| ~ v14_lattices(X)
| r2_hidden(k6_lattices(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_filter_0) ).
cnf(133,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ v13_lattices(X)
| v14_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).
cnf(136,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v13_lattices(X)
| ~ l3_lattices(X)
| k5_lattices(X) = k6_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_lattice2) ).
cnf(172,plain,
l3_lattices(k1_lattice2('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[26,3]) ).
cnf(188,plain,
~ v3_struct_0(k1_lattice2('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[60,1,3]) ).
cnf(230,plain,
v10_lattices(k1_lattice2('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[72,1,2,3]) ).
cnf(271,plain,
m2_lattice4('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[39,1,2,3,4]) ).
cnf(273,plain,
v14_lattices(k1_lattice2('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[133,1,2,3,5]) ).
cnf(278,plain,
m1_filter_2(k15_filter_2('SKOLEMAAAV1','SKOLEMAAAV2'),k1_lattice2('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[24,1,2,3,4]) ).
cnf(280,plain,
k5_lattices('SKOLEMAAAV1') = k6_lattices(k1_lattice2('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[136,1,2,5,3]) ).
cnf(281,plain,
k15_filter_2('SKOLEMAAAV1','SKOLEMAAAV2') = k7_filter_2('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[120,1,2,3,4]) ).
cnf(362,plain,
m1_subset_1('SKOLEMAAAV2',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
inference('UR-RESOLVE',[status(thm)],[40,271,1,2,3]) ).
cnf(1883,plain,
m1_filter_0(k15_filter_2('SKOLEMAAAV1','SKOLEMAAAV2'),k1_lattice2('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[121,278,188,230,172]) ).
cnf(3216,plain,
k15_filter_2('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[21,362,1,2,3]),281,theory(equality)]) ).
cnf(3219,plain,
m1_filter_0('SKOLEMAAAV2',k1_lattice2('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[1883,3216,theory(equality)]) ).
cnf(3223,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[126,3219,188,230,172,273]),6,280,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 06:41:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T06:41:48
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-30T06:41:48
% 0.19/0.52 WARNING:
% 0.19/0.52 |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_partfun1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v2_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.92
% 0.71/0.92
% 0.71/0.92 #||
% 0.71/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.92 % SZS output start Refutation
% See solution above
% 0.74/0.92 ||#
% 0.74/0.92
% 0.74/0.92 ; Summary of computation:
% 0.74/0.92 ; 4313 formulas have been input or derived (from 425 formulas).
% 0.74/0.92 ; 3223 (75%) were retained. Of these,
% 0.74/0.92 ; 134 ( 4%) were simplified or subsumed later,
% 0.74/0.92 ; 3089 (96%) are still being kept.
% 0.74/0.92 ;
% 0.74/0.92 ; Run time in seconds excluding printing time:
% 0.74/0.92 ; 0.022 5% Read assertion file (1 call)
% 0.74/0.92 ; 0.005 1% Assert (88 calls)
% 0.74/0.92 ; 0.179 41% Process new row (4,160 calls)
% 0.74/0.92 ; 0.134 30% Resolution (848 calls)
% 0.74/0.92 ; 0.001 0% Paramodulation (424 calls)
% 0.74/0.92 ; 0.000 0% Factoring (3 calls)
% 0.74/0.92 ; 0.003 1% Condensing (137 calls)
% 0.74/0.92 ; 0.001 0% Forward subsumption (137 calls)
% 0.74/0.92 ; 0.000 0% Backward subsumption (124 calls)
% 0.74/0.92 ; 0.001 0% Clause clause subsumption (27 calls)
% 0.74/0.92 ; 0.029 7% Forward simplification (4,104 calls)
% 0.74/0.92 ; 0.023 5% Backward simplification (3,223 calls)
% 0.74/0.92 ; 0.001 0% Ordering (218 calls)
% 0.74/0.92 ; 0.000 0% Sortal reasoning (32 calls)
% 0.74/0.92 ; 0.002 0% Purity testing (1 call)
% 0.74/0.92 ; 0.040 9% Other
% 0.74/0.92 ; 0.441 Total
% 0.74/0.92 ; 0.443 Real time
% 0.74/0.92 ;
% 0.74/0.92 ; Term-hash-array has 5,934 terms in all.
% 0.74/0.92 ; Feature-vector-row-index has 112 entries (112 at peak, 124 added, 12 deleted).
% 0.74/0.92 ; Feature-vector-row-index has 442 nodes (442 at peak, 544 added, 102 deleted).
% 0.74/0.92 ; Retrieved 43 possibly forward subsuming rows in 137 calls.
% 0.74/0.92 ; Retrieved 15 possibly backward subsumed rows in 124 calls.
% 0.74/0.92 ; Path-index has 5,727 entries (5,920 at peak, 5,976 added, 249 deleted).
% 0.74/0.92 ; Path-index has 2,925 nodes (2,961 at peak, 3,034 added, 109 deleted).
% 0.74/0.92 ; Trie-index has 5,727 entries (5,920 at peak, 5,976 added, 249 deleted).
% 0.74/0.92 ; Trie-index has 10,739 nodes (11,203 at peak, 11,455 added, 716 deleted).
% 0.74/0.92 ; Retrieved 1,522 generalization terms in 4,802 calls.
% 0.74/0.92 ; Retrieved 3,113 instance terms in 3,098 calls.
% 0.74/0.92 ; Retrieved 167,340 unifiable terms in 27,882 calls.
% 0.74/0.92 ;
% 0.74/0.92 ; The agenda of rows to process has 4 entries:
% 0.74/0.92 ; 1 with value 13 1 with value 16 1 with value 18
% 0.74/0.92 ; 1 with value 14
% 0.74/0.92 ; The agenda of rows to give has 2674 entries:
% 0.74/0.92 ; 1 with value (4 8) 534 with value (4 15) 6 with value (4 22)
% 0.74/0.92 ; 1 with value (4 9) 229 with value (4 16) 6 with value (4 25)
% 0.74/0.92 ; 73 with value (4 10) 68 with value (4 17) 6 with value (4 26)
% 0.74/0.92 ; 179 with value (4 11) 21 with value (4 18) 3 with value (4 27)
% 0.74/0.92 ; 405 with value (4 12) 11 with value (4 19) 3 with value (4 33)
% 0.74/0.92 ; 595 with value (4 13) 10 with value (4 20) 3 with value (4 34)
% 0.74/0.92 ; 491 with value (4 14) 29 with value (4 21)
% 0.74/0.92 Evaluation took:
% 0.74/0.92 0.444 seconds of real time
% 0.74/0.92 0.403805 seconds of user run time
% 0.74/0.92 0.040341 seconds of system run time
% 0.74/0.92 [Run times include 0.027 seconds GC run time.]
% 0.74/0.92 0 calls to %EVAL
% 0.74/0.92 0 page faults and
% 0.74/0.92 35,201,600 bytes consed.
% 0.74/0.92 :PROOF-FOUND
% 0.74/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T06:41:49
% 0.74/0.92 :PROOF-FOUND
% 0.74/0.92 *
%------------------------------------------------------------------------------